Are you sure this is accurate? When I first setup my tank, I filled it with RODI water and added my rock and sand and did not add salt until a few days later. I was told that all the beneficial bacteria was killed by the freshwater and I would have to start over, (I was at the beginning anyway so not much of a concern). This led me to believe that the bacteria for saltwater and freshwater are different...
I am not a scientist or biologist and do not claim that this is a fact, just throwing it out there in case it is true. Maybe someone that knows, can comment and either confirm or deny this.
Edit: To add to that, certain starter bacteria is for freshwater, (like Safe Start) and some for saltwater, (Bio Spira) which also led me to believe the bacteria is different for each.